211222120011200 has 84 divisors (see below), whose sum is σ = 547093083291960. Its totient is φ = 80042066519040.

The previous prime is 211222120011191. The next prime is 211222120011209. The reversal of 211222120011200 is 2110021222112.

It is an interprime number because it is at equal distance from previous prime (211222120011191) and next prime (211222120011209).

It is a super-2 number, since 2×211222120011200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222120011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3474017627 + ... + 3474078426.

Almost surely, 2^{211222120011200} is an apocalyptic number.

211222120011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222120011200 is an abundant number, since it is smaller than the sum of its proper divisors (335870963280760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222120011200 is a wasteful number, since it uses less digits than its factorization.

211222120011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948096094 (or 6948096079 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222120011200 its reverse (2110021222112), we get a palindrome (213332141233312).

The spelling of 211222120011200 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty million, eleven thousand, two hundred".